Suppose that the probability that a person will develop hypertension over a life time is 60%. Of 13 graduating students from the same college are selected at random. find the mean number of the students who develop hypertension over a life time

The mean number of the students who develop hypertension over a life time is 7.8.

Step-by-step explanation:

For each person, there are only two possible outcomes, either they will develop hypertension, or they will not. The probability of a person developing hypertension is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

Suppose that the probability that a person will develop hypertension over a life time is 60%.

This means that

13 graduating students from the same college are selected at random.

This means that

Find the mean number of the students who develop hypertension over a life time

The mean number of the students who develop hypertension over a life time is 7.8.

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3